Given numbers are 754,386,735

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 754,386,735 is 106958670.

Find LCM of 754,386,735 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 377 x 193 x 735 = 106958670

Therefore, the lowest common multiple of 754,386,735 is 106958670.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

754 x 386 x 735 = 213917340

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

754 : 1, 2, 13, 26, 29, 58, 377, 754

386 : 1, 2, 193, 386

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,386,735, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

386:2x 193

735:3x 5x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 213917340/(1x2)

LCM = 213917340/2

LCM = 106958670

Thus, we can understand that the LCM of 754,386,735 is 106958670.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 293, 652, 137
• LCM of 659, 506, 874
• LCM of 350, 489, 689
• LCM of 170, 998, 209
• LCM of 225, 409, 404

1. What is the LCM of 754, 386, 735?

Answer: LCM of 754, 386, 735 is 106958670.

2. How to calculate the LCM of 754, 386, 735?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 754, 386, 735.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.